Untested UIView subclass to be used as the custom class of a container view in a storyboard, to make that container view honor the intrinsic content size of its embedded content view.

RobIntrinsicContentSizeHonoringContainerView.h

/**
    Use this as the custom class of a container view in a storyboard if you want the container view to honor its embedded view's intrinsic content size.
*/
@interface RobIntrinsicContentSizeHonoringContainerView : UIView

/** Connect this to my width constraint in the storyboard if you want me to use my subview's intrinsic content width. */
@property (nonatomic, strong) IBOutlet NSLayoutConstraint *widthConstraint;

/** Connect this to my height constraint in the storyboard if you want me to use my subview's intrinsic content height. */
@property (nonatomic, strong) IBOutlet NSLayoutConstraint *heightConstraint;

@end

RobIntrinsicContentSizeHonoringContainerView.m

#import "RobIntrinsicContentSizeHonoringContainerView.h"

@implementation RobIntrinsicContentSizeHonoringContainerView

- (void)addSubview:(UIView *)subview {
    subview.translatesAutoresizingMaskIntoConstraints = NO;
    [super addSubview:subview];

    NSDictionary *views = NSDictionaryOfVariableBindings(subview);
    if (self.widthConstraint) {
        [self removeConstraint:self.widthConstraint];
        self.widthConstraint = nil;
        [self addConstraints:[NSLayoutConstraint constraintsWithVisualFormat:@"H:|[subview]|" options:0 metrics:nil views:views]];
    }
    if (self.heightConstraint) {
        [self removeConstraint:self.heightConstraint];
        self.heightConstraint = nil;
        [self addConstraints:[NSLayoutConstraint constraintsWithVisualFormat:@"V:|[subview]|" options:0 metrics:nil views:views]];
    }
}

@end

Why not just:

- (CGSize)intrinsicContentSize {
    return [[self.subviews firstObject] intrinsicContentSize];
}